CIP法の有限要素法化 : 3次元移流方程式の検証

概要

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The conventional shape function for the finite-element method (FEM) is a linear one, which is inadequate for analyzing numerically complex flows at high Reynolds numbers. In the present study, we aim to formulate a finite element method for the cubic interpolated pseudo-particle (CIP) method which was developed in the field of finite difference method. The CIP method is used to analyze advection equations with high accuracy. We modify this CIP method and discretize it with FEM. We propose third order shape functions which require continuity of the value of the function and its first space derivative in whole space. The shape function is written as a product of the conventional linear shape function and new second order shape function. Using this new shape function, we analyze some rotating problems in 3D which are a good example of the use of advection equation.
社団法人日本機械学会の論文
1997-05-25